[[1]] is the equation of the parabola whose vertex is O(0,0) and focus is at (−4,0).also find equation of directrix . Find the equation of the parabola with vertex at origin and y+3=0 as its directrix. Also find the focus.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given.
Vertex = (0,0)
Focus = (−4,0)
seo

We know that Equation parabola

y^{2} = - 4 x

Where ‘a’ = distance from focus to the origin.
= −a=−4 negative distance from origin(−a)
= a=4
= y2=−4×(+4)x
= y2=−16x
Required equation of parabola with vertex (0,0) focus (−4,0)
Now, vertex = (0,0)
Directrix = y+3=0
y=−3
Therefore, directrix (0,−3)
seo

= −a=−3 [∵−a]=negative distance from origin
a=3
Equation of parabola X2=4ay
X2=4×3×y
X2=12y

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th